What is the limit as x approaches-2 of x/((x+2)^2) ?

The limit as x approaches-2 of x/((x+2)^2) is -infinity

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limit as x approaches-2 of x/((x+2)^2)

x \to - 2 lim (\frac{x}{( x + 2 ) ^{2}})

- \infty

Solution steps

x \to - 2 lim (\frac{x}{( x + 2 ) ^{2}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to - 2 - lim (\frac{x}{( x + 2 ) ^{2}}) = - \infty

x \to - 2 + lim (\frac{x}{( x + 2 ) ^{2}}) = - \infty

= - \infty

x \to - 4 lim ((x)^{2})

\int \frac{1}{x ^{2} + 3} d x

θ \to 0 lim (θ cos (\frac{3}{θ}))

\int \frac{( x - 3 ) ^{3}}{x} d x

What is the limit as x approaches-2 of x/((x+2)^2) ?
The limit as x approaches-2 of x/((x+2)^2) is -infinity